Question

A dude ranch in Texas charges each customer y dollars to gohorseback riding based on the equation y=10x+20, where xrepresents the number of hours they go horseback riding.5. How much will it cost for one person to go horseback riding for 3hours?6. How much will it cost for a family of 4 to go horseback riding for2 hours?7. What does the y intercept mean in the equation?

Answer 1

(a)$50

(b)$160

Step-by-step explanation:

The equation that represents the charge per customer is:

`\begin{gathered} y=10x+20 \\ x=\text{number of hours they go horseback riding.} \end{gathered}`

Part 5

When one person goes horseback riding for 3 hours.

x=3

`\begin{gathered} y=10(3)+20 \\ =30+20 \\ =\$50 \end{gathered}`

Part 6

If one person goes horseback riding for 2 hours:

`\begin{gathered} y=10(2)+20 \\ =20+20 \\ =\$40 \end{gathered}`

Since they are a family of 4, the cost will be:

`\begin{gathered} 4y=4*40 \\ =\$160 \end{gathered}`

Part 7

In the equation:

`y=10x+20`

The y-intercept, $20 represents the cost of entry to the ranch. It means that even if a person does not go horseback riding, they will still pay the $20.